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Question: Plotting differential equations.. need help

Question:Plotting differential equations.. need help

ivanfanthony 15 Maple
numeric differential-equations plotting
June 03 2018
0

I need to plot this system of differential equations but I don't know how.. Can anyone help?

S_(n+1)(t)=S_n(t)-int_0^t[d/dw S_n(w)- mu*N+beta*S_n(w)*J_n(w)+mu*S_n(w)] dw

E_(n+1)(t)=E_n(t)-int_0^t[d/dw E_n(w) - beta*S_n(w)*J_n(w)+mu*E_n(w)+sigma*E_n(w)]dw

J_(n+1)(t)=J_n(t)-int_0^t[d/dw J_n(w)- sigma*E_n(w)+mu*J_n(w)+gamma1*J_n(w)] dw

R_(n+1)(t)=R_n(t)-int_0^t[d/dw R_n(w)-gamma1*J_n(w)+mu*R_n(w)] dw

 

with initial value

beta=0.00001

mu=0.02

sigma=45.6

gamma1=73

S(0)=12500000

E(0)=50000

J(0)=30000

R(0)=37420000

S_0(t)=S(0) and the same with E_(0). J_(0), and R_(0). And n is the n-th approximation. 

I have problem with the diff and sum inside the integral..

 
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